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  2. List of file signatures - Wikipedia

    en.wikipedia.org/wiki/List_of_file_signatures

    However, some file signatures can be recognizable when interpreted as text. The column ISO 8859-1 shows how the file signature appears when interpreted as text in the common ISO 8859-1 encoding, with unprintable characters represented as the control code abbreviation or symbol, or codepage 1252 character where available, or a box otherwise. In ...

  3. Cartesian coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cartesian_coordinate_system

    Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red. The equation of a circle is (x − a)2 + (y − b)2 = r2 where a and b are the coordinates of the center (a, b) and r is the radius. Cartesian coordinates are named for René Descartes, whose invention of them in the 17th century revolutionized ...

  4. Quantum logic gate - Wikipedia

    en.wikipedia.org/wiki/Quantum_logic_gate

    The Pauli X, Y and Z equate, respectively, to a rotation around the x, y and z axes of the Bloch sphere by radians. [ b ] The Pauli- X gate is the quantum equivalent of the NOT gate for classical computers with respect to the standard basis | 0 {\displaystyle |0\rangle } , | 1 {\displaystyle |1\rangle } , which distinguishes the z axis on the ...

  5. Spacetime - Wikipedia

    en.wikipedia.org/wiki/Spacetime

    In the Cartesian coordinate system, these are often called x, y and z. A point in spacetime is called an event, and requires four numbers to be specified: the three-dimensional location in space, plus the position in time (Fig. 1). An event is represented by a set of coordinates x, y, z and t. [4] Spacetime is thus four-dimensional.

  6. Rotation formalisms in three dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotation_formalisms_in...

    Rotate the vector v = (X, Y, Z) around the rotation vector Q = (X, Y, Z). The angle of rotation will be θ = ‖ Q ‖. Calculate the cosine of the angle times the vector to rotate, plus sine of the angle times the axis of rotation, plus one minus cosine of the angle times the dot product of the vector and rotation axis times the axis of rotation.

  7. Rotation of axes in two dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotation_of_axes_in_two...

    In mathematics, a rotation of axes in two dimensions is a mapping from an xy - Cartesian coordinate system to an x′y′ -Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle . A point P has coordinates (x, y) with respect to the ...

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